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Finding the Fourth Proportional to 16,452.60, 24,657.30 and 6,583.80

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Solution

The fourth proportional to 16,452.60, 24,657.30 and 6,583.80 is: 9,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.60 : 24,657.30 = 6,583.80 : x
  2. Step 2: Convert to fraction form
    16,452.60/24,657.30 = 6,583.80/x
  3. Step 3: Cross multiply
    16,452.60x = 24,657.30 × 6,583.80
  4. Step 4: Simplify right side
    16,452.60x = 162,338,731.74
  5. Step 5: Solve for x
    x = 162,338,731.74/16,452.60
  6. Step 6: Final answer
    x = 9,867.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.